Solve the problem.
-A rectangular sign is being designed so that the length of its base, in feet, is 12 feet less than 4 times the height, h. Express the area of the sign as a function of h.
A) $A ( h ) = - 12 h + h ^ { 2 }$
B) $A ( h ) = - 12 h ^ { 2 } + 2 h$
C) $A ( h ) = 12 h - 2 h ^ { 2 }$
D) $A ( h ) = - 12 h + 4 h ^ { 2 }$

Question

Solve the problem.
-A rectangular sign is being designed so that the length of its base, in feet, is 12 feet less than 4 times the height, h. Express the area of the sign as a function of h. 
A) $A ( h ) = - 12 h + h ^ { 2 }$
B) $A ( h ) = - 12 h ^ { 2 } + 2 h$
C) $A ( h ) = 12 h - 2 h ^ { 2 }$
D) $A ( h ) = - 12 h + 4 h ^ { 2 }$

Quizplus · Accepted Answer

The area of a rectangle is given by the formula $A = \text{length} \times \text{height}$. According to the problem, the length of the base is $4h - 12$, where $h$ is the height. Therefore, the area as a function of $h$ is $A(h) = (4h - 12)h = 4h^2 - 12h$, which matches option D.

Solve the Problem A(h)=−12h+h2A ( h ) = - 12 h + h ^ { 2 }A(h)=−12h+h2

Solve the Problem $A ( h ) = - 12 h + h ^ { 2 }$